{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Unrolled GAN train results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define a plotting function\n",
    "- the `plot()` function is borrowed from https://github.com/andrewliao11/unrolled-gans/blob/master/unrolled_gan.ipynb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 2.00000000e+00  0.00000000e+00]\n",
      " [ 1.41421356e+00  1.41421356e+00]\n",
      " [ 1.22464680e-16  2.00000000e+00]\n",
      " [-1.41421356e+00  1.41421356e+00]\n",
      " [-2.00000000e+00  2.44929360e-16]\n",
      " [-1.41421356e+00 -1.41421356e+00]\n",
      " [-3.67394040e-16 -2.00000000e+00]\n",
      " [ 1.41421356e+00 -1.41421356e+00]]\n"
     ]
    }
   ],
   "source": [
    "radius = 2.0\n",
    "num_centroids = 8\n",
    "angle_width = 2 * math.pi / num_centroids\n",
    "centroids = radius * np.array([[np.cos(angle_width * i), np.sin(angle_width * i)] for i in range(num_centroids)])\n",
    "print(centroids)\n",
    "\n",
    "def plot(points, title):\n",
    "    plt.scatter(points[:, 0], points[:, 1], s=10, c='b', alpha=0.5)\n",
    "    plt.scatter(centroids[:, 0], centroids[:, 1], s=100, c='g', alpha=0.5)\n",
    "    plt.title(title)\n",
    "    plt.ylim(-5, 5)\n",
    "    plt.xlim(-5, 5)\n",
    "    plt.show()\n",
    "    plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Samples trained with 5 unrolling steps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for epoch in [0, 5, 10, 20, 40, 60, 80, 99]:\n",
    "    gen_samps = np.load('generated_e{}.npy'.format(epoch))\n",
    "    plot(gen_samps, 'epoch_{}'.format(epoch))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Samples trained with 10 unrolling steps\n",
    "- Reduction of mode collapse is clear in this example, compared to those with 5 unrolling steps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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hLaebE/S1VlAQKsRCnXSHm2g8WUDXz2p4qyFCby987WsjT6OU4FCPXcYsFvODn08+6a8gnTev/4l4FHZugtfXQ6iLUKSB+ed1Ee1dT1XDJko6ozO6Zp78vWKxbLdkdOlnNXV1sMBF+aOlm7h2znqKirvom9tAr3VR2bqe3w5vwp2M0teXupI1uaKkBJt67DKi9BtXJNc6r6/3s1jAB3xeHhQURGhrqGZpfjULF8L994++VstMMJa54zNVciC6qT7CtUXV/Nnt1bz4oi/VbNjgt/n5037ANRTySzqEQtlts0wPBbsMKz30kkvTLl/un7viCn9f0HDYLxPgHJSW+qDZuNGvnAgzJySHG5jN1Hox2TCWef733utr7pGIX1Ts8GF/djKTD7YyeQp2GVZ66CUSfr2W5Bzr667zV0Dm5fnT/EWLhr/0P9tG6pVPx9WtU2m0ef5r1vgLvkKh1LLAkcjsOzuR8VGwy7DSQ6+vz9+0orERVq6Exx/3Ux6Li/1qjckbXMzEcBypV56Jq1tn8jTNoZYFno1nJzI+CnYZVjIUdu2Cf/kXv6aLGTz/vL9LUHGxD3Twt5q78MKZGW6j9conc3XrbKjRD14WeKYegCVzFOwyouTsi/Z2vzZ4QYHvvbe0+DVhjh/3Pfbdu2dmqMHUrjkzm2r0ubb2Ti5TsMuoolG/mNfbb/urTcvK4M//HI4c8VMe02/OPFPDYqrWnJltNfr03rsGUYNLwS5jsnq1n/1SWgqf/GTyfqG+DDFbQm0qzMZe8GwoH8nkKNhlRLEYfOELqTXTly/389OTA4Yf+9jwd/rJFbNtBcrZVD6SiVGwy4iSS8UmrzJtbfWDqckpdOrxzT6zrXwk46dgl/cNNW0v+Y/++HHIz/c3zwAf6sXFqVvbzaRgz8T0w5k8hXGyZmP5SMZHwS7AyHXXkhJ/O7u2Nn9h0sUXw9NPw89/7p9/6qlz71eaLZmoH+daDTrIB7FcpWAXIFVyKSxMLRaVnOoYifg1YXbuhB//GA4d8gHf0nLuHY+yLRP149lYgx5POKcfuOJxf23CggW5cRDLFQp2AVJ350kuEZBcLCoa9euLvPACdHX5IGht9XPYFy2aeXc8ykT9OJs16In0nsd7hjH4wGXmD9Sz5SAmo1OwC5C6O0+yx56+3ktbm784qa/PX6h0+rQvvaxZM/FT+Kk6/c9E/Xgy+5jM7zXREtB4zzCSB66DB/1BuqTk3IOYyjOzm4I9h6X/403enScU8iGe/Ae+a1dqdcD2dr/C4/33D1xrZfC+xlMKmIrT/0xMP5zIPib7e020BDTeM4yqKj9N9ZFH/FlXby/cfHNqnGTw76EprbOPgj1HDRVCg3upsZgfGD1xwpdhFi2Cr341tSTvSPsaTykgKKf/k/29JloCmsgZRm+vn+GUbGuy/YN/j4MH4dFH/YC5avCzh4I9Rw0VQoPvN5ocOL3zTnjjDbjnnnNDfbh9jaUUELR51JP9vSZTAhrvGUZ6W+NxP8spOYCa7KHX1/uy24IFwTsIB52CPUel/8M+fdov6Tr4TvbJbdrafG99zZrR9zXWUkAQ51Fnqr4/HZ/HSMv5JnvmyQP25s1+NlRfH3z0o1PfNpk8c85N+5uuWLHC7du3b9rfVwZKXlyUvPnC6dNwxx0D56SPtXauwbbZKxaDT3/a3zqvvBxqany4h0Lw7LPw7W/75/Lz/QF+wwb/pb/z9DOz/c65FaNup2DPTfH2ON/fu5v/9bOdHD/TTFlRKcd/tZaq8GqWXhAZsZaqEA+W7dvhvvv8bKiuUJwLfm03vUt20tDUTFdLKe7ttXBkNbRHAKiogFWr4OGH9fefbmMNdpViclDdqTq+sr2W/S92Yx3lnDlWSfe8DloXbeXd+dsoOl1DXV10yH+0uXZVZi7Yu9dfv9A7v46WK2tpyesm751yetorIb8DrtgK0W2wtwbiUbq7/TRJ1dtnrrxM7MTM7jSzmJm9ZWZfzMQ+ZWrE2+PU7q2lvSVMSV8l8+eGmTfXyLcwfWcqiTeF2Wu1tLn4kK9PHygNhVIzKWT2WrkS2omTuKqWvi7//0FPexgw6AlDc6X/vrIWwnE6OvzU2KAMegfRpIPdzELAt4B1wFXABjO7arL7lamxu3433b3dlOSX8d4xOHAAGo/7AbTOTuhIlDGnqItXEnuGfH1QZ7TMZsmbZsRiE3v9unXw0ZrdFIS7sc6yoTfqLINQFyzew3nnwZ/8iXrrM1kmSjE3A285594BMLMtwN3AaxnYt2TYzkM7sfZy9r/gB8T6egc+39cH8YYKnnl7B1+n+pzXz+YZLUEcG8hUaWzO5Tu5IV7OnuMjbNRWQf7lO7iys3rAlcky82SiFLMIOJL2c0P/YwOY2X1mts/M9jU1NWXgbWUimjubOXakiIYj54b6+7oLeePdxDk9wGTPEM6d8z7TJQPwiSf894n2bmeaTJXG6k80k0/RyBv1FDKnJKEyzCwwbYOnzrnNwGbws2Km630l1VMNheC1F0t59UAHZ8+Gh39Bfif5vWUDBsdm+6BpUK92zURpLBaD118spa21gzn5Ybq7h97uvIWdXHdDGQ/dHYzPLsgyEexHgcq0nxf3PyYzQDKQjx2D55+HlovW0nvZVgb+yQYpbiL/yPoBFy3N9mAM6tjAZEtjsRg89hjMP72WrshWCgorwaC7a+B2ZWXwwXVN/MEt62fV3z1XZSLYnweiZrYMH+gfAz6egf1KBiTXWX/tNWhuhr7O1bBsGxQm/IDYYIUJ8lwBi3pX8dxzfircgw/O/mCcSADOlpr8RK9WTR70W1uh/sBqEiu2YYUJFsz1/1+0tvgxl9IyWPkbCSoiBaxasirDrZepMOlgd871mNlngKeBEPDPzrlXJ90yyYhoFM6c8Yt4hUJAZ4S+vTV+6lphAtoqoKcQ8juhuAl6C9iwrIaClsg568jM1kHTpPEE4GwvPY1F8ixs+XI4dizC6SM1hH69ls6eBMsuqGAOhXTTybwLmpiTV8CNHTU01UeIBOxzCKKMzGN3zm1zzl3unLvUOffXmdinZEZVFWzcCJdeCued55cOWBSOsii2CWLr/RS20gb//fX13DFnE1/5s+iQvfOqqtk3aDpRuTBfP/0s7Pzz4Yrzo1x3chOVreu5cHEXF1zewNXLu/jNxethxyZ+tS0aqIHnINOVpzlg3Tq45BK/LgwkF/OK8Du/U807v6ymvd1febhoEfyPh2b3lMZMme2lp7FIrsu+d69f3OuSS6CuLkI0Wk1VVWqq65NPQrHN3vGVXKRgzxFDlSEeesivtZ0sN2zcOPAGGhO5iUZQ5MLBLRaDLVt8jf2Xv/R//+pzL13IiYNc0CjYc1iyJz9SeOVCrXk407WEbrYkB9bfessvzfz1r/v726av7gm5cZALGgV7jhstvGb7NEcZXnJgva3N/42PHoUf/jA1E2pwuOvvPntkZPBUgisU8r24gwd1Gh40yYH18nL/sxlccUVwB4tziYJdhpWswSb/oa9erV5bEDkH4bCfs37smA7gQaBgl2Ela7DHj0N7uw95TXULjljMD56fOuVD/cor4eqrc2scJahUY5dhRaP+dnltbVBcDPPnD7yTvQbSZqfkLKeGBv83PXrU99Q7OuAv/kJ/0yBQsMuwqqrg/vt9r27+fH9zhVAod2fJBEH6LKd43J+RJRLQ0uLvabp5s58ppb/p7KZglxENnhKpWTKzW/rfD+Cii6CpyR+4i4p0y7ugULDLqAZPdevt9bNkTp/uX39GZrT0C8wGX2x0113w3nvwyivQ3Q1Ll2rgNAgU7DIuycvQH30UFizwA6o6dZ+5hrrAbPDFRoOXm9DfcvZTsMu49fbCxRdPrByTi8sTZNNQpbPBC7np4qPgUbDLuE107ZDhlidQ2E+d5MymI0fQLe1yiIJdxiUW86fty5bBwoXjO3UfqvcImmUz1ZxLfUluULDLmMVi8MUv+oFTgGuu8SWZsfa2h+rpa5bN1Kqr82vwX3+9Pt9comCXMUteiTpnDnR2+jVkHn3Uh/tYetvDrRKoJWGnTjTq56u/8Ya/uvSjH812i2Q6KNhlzKJRfzrf0OAXjGpuhoqK8fW2Bw/UaUnYqZecmw7+QKxZTMGnYJcxq6qCe+7xSwxEIn5Q7vhxX5qZzMCcZmVkVnIwOhTyS/CeOuXPhsDf1HzXLn3eQadgl3FZs8aHRWsrNDb6e6mePg2f+pTCYiaIxeB3fxfefdcfgOfN82Wz3l6/ZEBhYbZbKNNBwS7jkiydPPaY/3n5cl+Gee1QnD3f283hvJ3kz22mtLCUqoK1zG9ezY1XRhT6UyjeHmd3/W52HtrJ9/+tmcYLS6F9LRxZTTweAXyoFxT47S++OIuNlWlhLgtzoFasWOH27ds37e8rmZM+J73+bB1vn19LfmE3Bb3lXHdlEScTHbzyzkny3ByuPF3DN78ezblwn475+XWn6qjdW0t3bzeJxnJ+tKUI8jug+CT0zoG9NRCPYuZvVt7bCx/5CHzuczrDmo3MbL9zbsVo22k9dpmQZM/96hVxGpfWEnJhFpVU0tcZ5ukfG7/YFabxzUpONob5pavlyR3xbDd5WiUPfE884b9PxTr28fY4tXtraWwI89YLlez5eRgw6AlDc6X/vrIWwnGc87fBSyTgpZemrk0yM6gUI5PyHwd30zKnm+b3FuLaofE4tJ1NPd+ZKIPSBP+wbQ8tJ6rPuagpqFedjjY/fzy/93Db7q7fzaHD3Ty3YyF9fdCcGPTCzjIoTMDiPVBXTWenL8csW5a6K1aQPnNJUbDLhNXVQWPxThbPK6fxLJxJDAz197VV8FZoB488Us1558FTT8HDD/ungnrV6UjLLgy3tMJQRtp256GdtJwox6x/UNSAwZXVtgq4ZAfUVVNUBHPn+plMixbpmoEgU7DLhEWj0LWrmbOJSvqcv3BpSD2FUNz0/syM9HnVQy0xEIQe/Ejz88fTm9+1yy+rW1XlZ7ns2pV6rrmzmaWLKnn9oJ/5EgpBX++gpQP6P3vw1x4sXeqnrGoVx2BTsMuEVVXBqptKOdvcQVEozM9+xtC9xvxO6Cyjpwd6egbOeU/v1Qbt7kzDzc8faWGuZA+9tdXfss7M3wjj0CEfyvX1/rGSEpj30VIql3XwoXVhGhqgtNTfCenFl9LKMvmd0FVGKOSvPfjqV/3NUyTYFOwyKffctJatb2ylsqwSgGd2wInjgzYqboLX13PjjfChD/nFw+DcXm2yJ1tc7C+BD/KFNMMtzJVctuGtt3ygd3f7G0x3dcH558Nzz/m56YcOwW9+cC0n524lGq0ccHC45hrYts1fGdxsTSxoXM/Cq+GhhxTquULBLpOyeslqttVtI9GRIBotY8ECHz4vveRDicIE1ldApH0VH/q4D6T6en+RU7JHnh7e8Tj8/Of+v59++tySQRAGW0damCsa9bNX2tr8reoSCXjzTQiH4cYb/TYdHXD2LJSeWU0i5D/7sqKy9/dfXu4PoEeaEnS7Aj550SpuvHL2fl4yfgp2mZRIOELNyhpq99aSSCSoKKvgznWFLLm0kxfeaCJ+ooBlx2u4+KYICxf6IEvWltPrxcmAv/NOH1pD1ZRhdpZqBh+MRhpYraqCjRvhkUegvd2Xrq691g+OXnMNvP46vPyy33b/7gj3V9fwr439n31xBYX5hXT2dNI2p4kLKwuoWVlD9LxIdn5xyRpdoCQZEW+Ps6d+DzsO7SDRmaCssIzblt1GRecqmuoj5wRzPO5rxQsWnHvTjeG2WbnSnw0kDwzr1/u7AY1mor38yZwdJF977Bh85zuQlwcXXODLIWO5uUhy3funnx74GT3+OGzeDGVl/oxo40b4nXuH/uxXLVlFJKxQD5KxXqCkHrtkRCQcobqqmuqqIZL22tR/JmvqDQ0DQzpZjkivuw/eBsa/xG/6YOSZMz4I160bW7COZ0pi+r7S3/NnP/M978JC//skxw1GW/gs+fyaNQP3vXChH4MoKuovdY322UtOUrDLtEoGVizm6+zDlSOG2mbNmnODbjTJwchXX/WDiV/7mn98y5ZUaH/sY6k2JPf5+OPwi1/4ed8XXjj0xTyDe9WnT8Mdd/jnQiEf5nl5/gt8WaWxEZ58cuwz8YG0AAAIGElEQVTtH3wAWLPGv19rq58ls2bN6PuQ3KNSjGTNWEodkx0sjcXg3nv9crX5+X6a4F13+V70kiV+yeETLXEKLtvNu7aTC5Y0E84r5bnvr6X1tdXQHqGoCP7u7+CP/zi13+3bfR28owNOnIBbboFnn/VhW1LiS0h5ef6Mo6fHv2bpUl+OiUQmN0YQhAFkmZhpKcWY2SPAXUAX8DbwB865M5PZp+SOsazDPtm12pMDsocPw/z5vnxRUZGanfNeRx2HltTS09lNx6lyOpsraW7voP3ireRdtI28Z2so6Ihy5Ehqn7GYv2HFkSM+vLu7/RkBwBVX+EHfm2+GxYv9csaHD6deO1T5aSK/kwJdRjLZUsxPgC8553rM7GHgS8AXJt8skczZsAEOHPDli5IS37teuBDO9sU52FTLqX1hXMdC+nohrw8cYdzZSvoKEriba8l/cRN5eRG2b/c97YYGf5A4ejR1F6mPfMRP8WxrS5WNhirdDFd+EsmkjJVizOw/A/c45z4x2rYqxch0S7+rULK+/m7hv/Ne6VaOxfzFVS3N/vGyMggX+954X0k9kcb1XNBczcsv+6mHxcX+IPHmm77MctVV8K1v+feZ6tKS5LZszIr5Q+D7GdyfSMYkyxdPPplap+VXLTs5L1zOew462v1KCH19ft2V8nK4/XY4drKCfV07aNhVTWurr9Xfcgtcfrnfb7L0Ulfnp15OdWlJZCxGXY/dzJ4xs1eG+Lo7bZsvAz3AYyPs5z4z22dm+5qamjLTepFxSr84qItmrr+6iBtvgOK5ML8MFkT8TJjLLvPhXpBXyPEzCRIJX0uPx30J5q67/AqJydKLyioyk4zaY3fO3T7S82b2+0A1cJsboa7jnNsMbAZfihlfM0UyI32efE9zKSXzO7jmmjCNjX52S18vzC/3M1gAuvo6mVdYRkfY/zxnjh+MXbcOLrlEZRWZmSY7K+ZO4AHgg865tsw0SWRqJcshfbH+BczKK7n9dn8DaPChXl7ev3FxE5fYeo4tSC3ItWHDwP2IzDSTrbF/EygEfmJmAL9yzv3ppFslMg3SFzArLy9LhXm/REeCikgBD2xcxYur/GNax1xmg0kFu3Puskw1RGS6nbOAWdoiWk1tTRSEUoto3XLt6PsTmSm0pIDktOh5UTbdtun9RbSa2pooKyxj/RXrtYiWzFpaUkBEZJYY6zz2Uac7iojI7KJgFxEJGAW7iEjAKNhFRAJGwS4iEjAKdhGRgFGwi4gEjIJdRCRgFOwiIgGjYBcRCRgFu4hIwCjYRUQCRsEuIhIwCnYRkYBRsIuIBIyCXUQkYBTsIiIBo2AXEQkYBbuISMAo2EVEAkbBLiISMAp2EZGAUbCLiASMgl1EJGAU7CIiAaNgFxEJGAW7iEjAKNhFRAJGwS4iEjAKdhGRgFGwi4gEjIJdRCRgFOwiIgGTkWA3sxozc2ZWnon9iYjIxE062M2sEvgtoH7yzRERkcnKRI/9b4AHAJeBfYmIyCRNKtjN7G7gqHPuwBi2vc/M9pnZvqampsm8rYiIjCB/tA3M7Blg4RBPfRl4EF+GGZVzbjOwGWDFihXq3YuITJFRg905d/tQj5vZcmAZcMDMABYDL5jZzc65xoy2UkRExmzUYB+Oc+4gcH7yZzN7F1jhnDuZgXaJiMgEaR67iEjATLjHPphzbmmm9iUiIhOnHruISMAo2EVEAkbBLiISMAp2EZGAUbCLiASMgl1EJGAU7CIiAaNgFxEJGAW7iEjAKNhFRAJGwS4iEjAKdhGRgFGwi4gEjIJdRCRgFOwiIgGjYBcRCRhzbvrvK21mTcDhaX/jgcoB3cbP02eRos8iRZ9Fykz5LC52zlWMtlFWgn0mMLN9zrkV2W7HTKDPIkWfRYo+i5TZ9lmoFCMiEjAKdhGRgMnlYN+c7QbMIPosUvRZpOizSJlVn0XO1thFRIIql3vsIiKBpGAXEQkYBTtgZjVm5sysPNttyRYze8TM3jCzl83sX81sfrbbNN3M7E4zi5nZW2b2xWy3J1vMrNLMdpnZa2b2qpl9LtttyjYzC5nZi2b2ZLbbMhY5H+xmVgn8FlCf7bZk2U+Aa5xz1wJvAl/KcnumlZmFgG8B64CrgA1mdlV2W5U1PUCNc+4q4APAp3P4s0j6HPB6thsxVjkf7MDfAA8AOT2K7Jz7sXOup//HXwGLs9meLLgZeMs5945zrgvYAtyd5TZlhXPumHPuhf7/bsEH2qLstip7zGwx8NvAt7PdlrHK6WA3s7uBo865A9luywzzh8D2bDdimi0CjqT93EAOh1mSmS0FbgCezW5Lsupv8Z2/vmw3ZKzys92AqWZmzwALh3jqy8CD+DJMThjps3DObe3f5sv4U/HHprNtMvOYWQnwI+DzzrnmbLcnG8ysGjjhnNtvZr+R7faMVeCD3Tl3+1CPm9lyYBlwwMzAlx5eMLObnXON09jEaTPcZ5FkZr8PVAO3udy7wOEoUJn28+L+x3KSmc3Bh/pjzrknst2eLLoV+LCZfQgoAkrN7HvOud/LcrtGpAuU+pnZu8AK59xMWMFt2pnZncA3gA8655qy3Z7pZmb5+EHj2/CB/jzwcefcq1ltWBaY7+n8CxB3zn0+2+2ZKfp77Budc9XZbstocrrGLgN8E5gH/MTMXjKzf8h2g6ZT/8DxZ4Cn8YOFP8jFUO93K/BJYG3//wsv9fdYZZZQj11EJGDUYxcRCRgFu4hIwCjYRUQCRsEuIhIwCnYRkYBRsIuIBIyCXUQkYP4/jqE1LdVmtd4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for epoch in [0, 5, 10, 20, 40, 60, 80, 99]:\n",
    "    gen_samps = np.load('generated_e{}.npy'.format(epoch))\n",
    "    plot(gen_samps, 'epoch_{}'.format(epoch))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
